1157321460400 has 60 divisors (see below), whose sum is σ = 3177674074672. Its totient is φ = 396795928320.

The previous prime is 1157321460397. The next prime is 1157321460403. The reversal of 1157321460400 is 40641237511.

It is an interprime number because it is at equal distance from previous prime (1157321460397) and next prime (1157321460403).

It is not an unprimeable number, because it can be changed into a prime (1157321460403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 206661747 + ... + 206667346.

Almost surely, 2^{1157321460400} is an apocalyptic number.

1157321460400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1157321460400 is an abundant number, since it is smaller than the sum of its proper divisors (2020352614272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1157321460400 is a wasteful number, since it uses less digits than its factorization.

1157321460400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413329118 (or 413329107 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

Adding to 1157321460400 its reverse (40641237511), we get a palindrome (1197962697911).

The spelling of 1157321460400 in words is "one trillion, one hundred fifty-seven billion, three hundred twenty-one million, four hundred sixty thousand, four hundred".